9149066640000 has 2240 divisors, whose sum is σ = 39690246805440. Its totient is φ = 2055849984000.

The previous prime is 9149066639969. The next prime is 9149066640017. The reversal of 9149066640000 is 466609419.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 29801519847 + ... + 29801520153.

It is an arithmetic number, because the mean of its divisors is an integer number (17718860181).

Almost surely, 2^{9149066640000} is an apocalyptic number.

9149066640000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9149066640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19845123402720).

9149066640000 is an abundant number, since it is smaller than the sum of its proper divisors (30541180165440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9149066640000 is an frugal number, since it uses more digits than its factorization.

9149066640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 9149066640000 in words is "nine trillion, one hundred forty-nine billion, sixty-six million, six hundred forty thousand".